Module 14: Lesson 3 Proving Lines are Parallel

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Presentation transcript:

Module 14: Lesson 3 Proving Lines are Parallel

Converse of the Same-Side Interior Angles Postulate If 2 lines are cut by a transversal such that same-side interior angles are supplementary, then the 2 lines are parallel. t p 3 4 5 6 q

Converse of the Alternate Interior Angles Theorem If 2 lines are cut by a transversal such that alternate interior angles are congruent…or have the same measure, then the 2 lines are parallel. t p 3 4 5 6 q

Converse of the Alternate Exterior Angles Theorem If 2 lines are cut by a transversal such that alternate exterior angles are congruent…or have the same measure, then the 2 lines are parallel. t 1 2 p q 7 8

Converse of the Corresponding Angles Theorem If 2 lines are cut by a transversal such that corresponding angles are congruent…or have the same measure, then the 2 lines are parallel. t 1 2 p 3 4 5 6 q 7 8

Homework pages 705-708 #1-12, 15, 16 (all)

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